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Archive for December, 2016

Kontsevich had a spectacular solution of the Witten conjecture in 1991, that the generating function of the intersection numbers of genus g surfaces with n marked points satisfies the KdV equations which came from equating two different models of two dimensional gravity: kontsevichthesis. So the question is whether there is a nontrivial generalization for gravity in three dimensional hypersurfaces of a four-sphere of fixed radius. I don’t know whether the physicists have already produced the generalization but this is probably what needs to be done to connect the S4 ideas with established direction in physics …